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Finding the Fourth Proportional to 84,381.56, 126,573.48 and 22,052

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Solution

The fourth proportional to 84,381.56, 126,573.48 and 22,052 is: 33,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,381.56 : 126,573.48 = 22,052 : x
  2. Step 2: Convert to fraction form
    84,381.56/126,573.48 = 22,052/x
  3. Step 3: Cross multiply
    84,381.56x = 126,573.48 × 22,052
  4. Step 4: Simplify right side
    84,381.56x = 2,791,198,380.96
  5. Step 5: Solve for x
    x = 2,791,198,380.96/84,381.56
  6. Step 6: Final answer
    x = 33,078.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.